Purity of Methods

Abstract
Throughout history, mathematicians have expressed preference for solutions to problems that avoid introducing concepts that are in one sense or another “foreign” or “alien” to the problem under investigation. This preference for “purity” (which German writers commonly referred to as “methoden Reinheit”) has taken various forms. It has also been persistent. This notwithstanding, it has not been analyzed at even a basic philosophical level. In this paper we give a basic analysis of one conception of purity—what we call topical purity—and discuss its epistemological significance
Keywords proof  purity
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,861
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
On the Relationship Between Plane and Solid Geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.
Rota's Philosophy in its Mathematical Context.Sébastien Gandon - 2016 - Philosophia Mathematica 24 (2):145-184.

Add more citations

Similar books and articles
Tidy Whitenes: A Genealogy of Race, Purity, and Hygiene.Dana Berthold - 2010 - Ethics and the Environment 15 (1):pp. 1-26.
Logical and Semantic Purity.Andrew Arana - 2008 - ProtoSociology 25:36-48.
Unclean.Richard Allan Beck - 2012 - Lutterworth Press.
The Criterion of Purity in Plato's “Philebus”.Andrew Tallon - 1972 - New Scholasticism 46 (4):439-445.
On the Politics of Purity.Michael Monahan - 2012 - Clr James Journal 18 (1):217-223.
Sidgwick and the Morality of Purity.Francesco Orsi - 2012 - Revue d'Etudes Benthamiennes 10 (10).
In Defence of Purity.F. J. Dore - 1932 - Thought: A Journal of Philosophy 7 (2):325-327.
Contancy and Purity.John Kekes - 1983 - Mind 92 (368):499-518.
Purity in Morals.Frances Myrna - 1983 - The Monist 66 (2):283-297.
The Production of Purity as the Production of Knowledge.Jonathan Simon - 2012 - Foundations of Chemistry 14 (1):83-96.
Harmony, Purity, Truth.Graham Oddie - 1994 - Mind 103 (412):451-472.
Added to PP index
2011-02-22

Total downloads
109 ( #49,977 of 2,210,632 )

Recent downloads (6 months)
3 ( #166,776 of 2,210,632 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature